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Finding the Fourth Proportional to 409.14, 613.71 and 189.72

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Solution

The fourth proportional to 409.14, 613.71 and 189.72 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.14 : 613.71 = 189.72 : x
  2. Step 2: Convert to fraction form
    409.14/613.71 = 189.72/x
  3. Step 3: Cross multiply
    409.14x = 613.71 × 189.72
  4. Step 4: Simplify right side
    409.14x = 116,433.06
  5. Step 5: Solve for x
    x = 116,433.06/409.14
  6. Step 6: Final answer
    x = 284.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.